29528064000 has 640 divisors, whose sum is σ = 111333479400. Its totient is φ = 7785676800.

The previous prime is 29528063947. The next prime is 29528064061. The reversal of 29528064000 is 46082592.

It is a happy number.

29528064000 is a `hidden beast` number, since 2 + 9 + 5 + 2 + 8 + 0 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4619649024 + 24908414976 = 67968^2 + 157824^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 331775956 + ... + 331776044.

Almost surely, 2^29528064000 is an apocalyptic number.

29528064000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29528064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55666739700).

29528064000 is an abundant number, since it is smaller than the sum of its proper divisors (81805415400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29528064000 is an frugal number, since it uses more digits than its factorization.

29528064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 29528064000 in words is "twenty-nine billion, five hundred twenty-eight million, sixty-four thousand".